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The envelope of ballistic trajectories and elliptic orbits. / Butikov, E.I.

In: American Journal of Physics, Vol. 83, No. 11, 2015, p. 952-958.

Research output: Contribution to journal › Article

Harvard

Butikov, EI 2015, 'The envelope of ballistic trajectories and elliptic orbits', American Journal of Physics, vol. 83, no. 11, pp. 952-958. https://doi.org/10.1119/1.4928176

APA

Butikov, E. I. (2015). The envelope of ballistic trajectories and elliptic orbits. American Journal of Physics, 83(11), 952-958. https://doi.org/10.1119/1.4928176

Vancouver

Butikov EI. The envelope of ballistic trajectories and elliptic orbits. American Journal of Physics. 2015;83(11):952-958. https://doi.org/10.1119/1.4928176

Author

Butikov, E.I. / The envelope of ballistic trajectories and elliptic orbits. In: American Journal of Physics. 2015 ; Vol. 83, No. 11. pp. 952-958.

BibTeX

@article{0200d80d130347f9a9e2fcf65bd76ff6,
title = "The envelope of ballistic trajectories and elliptic orbits",
abstract = "{\textcopyright} 2015 American Association of Physics Teachers. Simple geometric derivations are given for the shape of the {"}safety domain{"} boundary for the family of Keplerian orbits of equal energy in a central gravitational field and for projectile trajectories in a uniform field. Examples of practical uses of the envelope of the family of orbits are discussed and illustrated by computer simulations. This material is appropriate for physics teachers and undergraduate students studying classical mechanics and orbital motions.",
author = "E.I. Butikov",
year = "2015",
doi = "10.1119/1.4928176",
language = "English",
volume = "83",
pages = "952--958",
journal = "American Journal of Physics",
issn = "0002-9505",
publisher = "American Association of Physics Teachers",
number = "11",

}

RIS

TY - JOUR

T1 - The envelope of ballistic trajectories and elliptic orbits

AU - Butikov, E.I.

PY - 2015

Y1 - 2015

N2 - © 2015 American Association of Physics Teachers. Simple geometric derivations are given for the shape of the "safety domain" boundary for the family of Keplerian orbits of equal energy in a central gravitational field and for projectile trajectories in a uniform field. Examples of practical uses of the envelope of the family of orbits are discussed and illustrated by computer simulations. This material is appropriate for physics teachers and undergraduate students studying classical mechanics and orbital motions.

AB - © 2015 American Association of Physics Teachers. Simple geometric derivations are given for the shape of the "safety domain" boundary for the family of Keplerian orbits of equal energy in a central gravitational field and for projectile trajectories in a uniform field. Examples of practical uses of the envelope of the family of orbits are discussed and illustrated by computer simulations. This material is appropriate for physics teachers and undergraduate students studying classical mechanics and orbital motions.

U2 - 10.1119/1.4928176

DO - 10.1119/1.4928176

M3 - Article

VL - 83

SP - 952

EP - 958

JO - American Journal of Physics

JF - American Journal of Physics

SN - 0002-9505

IS - 11

ER -

ID: 3979551